LINEAR DENSITY THEOREM FOR CIRCULATION IN A VORTEX TUBE
https://doi.org/10.51955/2312-1327_2024_4_67
Abstract
The article describes vortex formation in the atmospheric medium and analyzes the research on this topic. The main contradictions and problems in the study of vortex formation are revealed. The working process of transforming the initial potential flow of working body of the medium under study into vortex flow with the description of the main factors influencing this process is considered. The contradictions in the process of vortex tube formation are revealed, for which a new object of research was chosen - specific linear density of vortex circulation of gas (liquid) natural and anthropogenic media. The state and problems of the specific linear density of vortex circulation of the investigated vortex formation are assessed. The definition of specific linear density of circulation on the basis of its working process is presented. The correlation between the linear circulation density and the tangential velocity of the medium on the outer surface of the vortex tube is established. The definition of the theorem on the linear circulation density of a vortex tube is given. The proof of the theorem and the mathematical relationship of the linear density of medium vortex tube circulation and the tangential velocity on its outer surface are given. Corollaries of the theorem and their applications are presented.
About the Authors
N. V. Danilenko
Moscow State Technical University of Civil Aviation (Irkutsk Branch)
Russian Federation
Russian Federation
Nikolay V. Danilenko,Candidate of Technical Sciences, associate professor
3, Kommunarov St. Irkutsk, 664047
A. G. Kirenchev
Moscow State Technical University of Civil Aviation (Irkutsk Branch)
Russian Federation
Russian Federation
Anton G. Kirenchev, Candidate of Technical Sciences
3, Kommunarov St. Irkutsk, 664047
References
1. Belotserkovsky S. M., Nisht M. I. (1978). Detachable and non-detachable streamline of thin wings by an ideal fluid. Moscow: Nauka, 1978. 351 p. (in Russian)
2. Bystray G. P., Lykov I. A., Okhotnikov S. А. (2012). Vortex formation in the atmosphere at high humidity with nonlinear sinks and sources. Bulletin of Cybernetics. 11: 86-97. (in Russian)
3. Danilenko N. V. (2004). Tornado. Bulletin of the Irkutsk State Technical University. 2(18): 64-72. (in Russian)
4. Danilenko N. V., Kirenchev A. Г. (2018). Workflow of vortex formation of the Earth's media. Bulletin of the Moscow Aviation Institute. 25(3): 161-170. (in Russian)
5. Espie J. P. (1841). Philosophy of storms. Boston: Charles C. Little and James Brown, 1841. 552 p.
6. Kirenchev A. G., Danilenko N. V. (2022). Features of Aircraft Service in the Field of Coriolis Force Stock Vortices: Monograph. Irkutsk: Irkutsk branch of MSTU GA, 2022. 140 p. (in Russian)
7. Komov A. A. (2020). Influence of constructive and operational factors on vortex formation of GTE. Scientific value of K.E. Tsiolkovsky's works: history and modernity: materials of the 55th Scientific Readings in memory of K.E. Tsiolkovsky. Kaluga: Eidos, 2020. P. 353-357. (in Russian)
8. Kotovsky V. N. (2015). Technical thermodynamics. Moscow: MSTU GA, 2015. 86 p. (in Russian)
9. Kushin V. V. (1993). Tornado. Moscow: Energoatomizdat, 1993. 126 p. (in Russian)
10. Loytsyansky, L. G. (1970). Mechanics of Liquid and Gas. Moscow: Nauka. 1970. 904 p. (in Russian)
11. Nalivkin D. V. (1969). Hurricanes, storms and tornadoes: Geographical features and geologic activity. Leningrad: Nauka, 1969. 488 p. (in Russian)
12. Nalivkin V. D. (1984). Tornadoes. Moscow: Nauka, 1984. 112 p. (in Russian)
13. Nechaev Y. N., Fedorov R. M., Kotovsky V. N. (2005). Theory of Aviation Engines. Part 1. Moscow: Nauka, 2005. 657 p. (in Russian)
14. Nisht M. I. (1994). Aerodynamics of Combat Aircraft and Hydraulics of their Systems. Moscow: VVIA named after Prof. N.E. Zhukovsky, 1994. 570 p. (in Russian)
15. Targ S. M. Short Course of Theoretical Mechanics. Moscow: Nauka. 1974. 416 p. (in Russian)
Review
For citations:
Danilenko N.V., Kirenchev A.G. LINEAR DENSITY THEOREM FOR CIRCULATION IN A VORTEX TUBE. Crede Experto: transport, society, education, language. 2024;(4):67-78. (In Russ.) https://doi.org/10.51955/2312-1327_2024_4_67
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